Harmonic Mean in R

In this article, we will see how to find harmonic mean in R programming language.

The harmonic mean is used when an average of rates is required, below is the formula. 

Harmonic mean of n numbers x1, x2, x3, . . ., xn can written as below.

Harmonic mean = n / ((1/x1) + (1/x2) + (1/x3) + . . . + (1/xn))

harmonic.mean() in R

In R, we can compute the harmonic mean by using harmonic.mean() function.

Syntax: harmonic.mean(data)
where, data is an input vector or dataframe.

But this method is available in psych package. so we have to install and import it.

Install - install.packages("psych")              
Import - library("psych")   

Example 1:

In this example, we are going to find harmonic mean of vector with 10  elements.

R

# load the library
library("psych")

# create vector
vector1=c(12:21)

# harmonic mean
print(harmonic.mean(vector1))

Output:

[1] 15.98769

Example 2:

In this example, we are going to find harmonic mean of  columns in a dataframe. Here we are creating a dataframe with 4 rows and 3 columns and find harmonic mean of three columns. Syntax to find harmonic mean of particular columns in a dataframe.

dataframe$column

R

# load the library
library("psych")

# create dataframe
data=data.frame(col1=c(12,2,3,4),
                col2=c(34,32,1,0),
                col3=c(2,45,3,2))

# display
print(data)

# harmonic mean of column1
print(data$col1)

# harmonic mean of column2
print(data$col2)

# harmonic mean of column3
print(data$col3)

Output: